{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook shows some examples of methods on a BandStructureSymmLine object (gettting band gaps, vbm, etc...) and basic plotting. Written by Geoffroy Hautier (geoffroy.hautier@uclouvain.be)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We start by querying the MP database for a band structure object. Please note that you could get such an object from a run (VASP, ABINIT, ...) using the methods in pymatgen.io\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "from pymatgen.matproj.rest import MPRester\n",
    "from pymatgen.electronic_structure.core import Spin\n",
    "#This initiliazes the Rest connection to the Materials Project db. Put your own API key.\n",
    "a=MPRester(\"YOUR_API_KEY\")\n",
    "#load the band structure from mp-3748, CuAlO2 from the MP db\n",
    "bs=a.get_bandstructure_by_material_id(\"mp-3748\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We print some information about the band structure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "False\n",
      "{'energy': 1.7978000000000005, 'transition': u'(0.591,0.409,0.000)-\\\\Gamma', 'direct': False}\n",
      "18.0201\n",
      "2.6904\n",
      "{u'kpoint': <pymatgen.electronic_structure.bandstructure.Kpoint object at 0x5192610>, u'kpoint_index': [123], u'energy': 6.1023, u'band_index': {1: [15]}, u'projections': {}}\n"
     ]
    }
   ],
   "source": [
    "#is the material a metal (i.e., the fermi level cross a band)\n",
    "print bs.is_metal()\n",
    "#print information on the band gap\n",
    "print bs.get_band_gap()\n",
    "#print the energy of the 20th band and 10th kpoint\n",
    "print bs.bands[Spin.up][20][10]\n",
    "#print energy of direct band gap\n",
    "print bs.get_direct_band_gap()\n",
    "#print information on the vbm\n",
    "print bs.get_vbm()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, we plot the bs object. By default for an insulator we have en energy limit of cbm+4eV and vbm-4 eV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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91pEj5hdQCGcdOwJVqkj7+HHzqkV9/rla+1e9urriT2SK3buB7dulXaAA0KVL7v/fTp3U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6qwgKUhtPSQe4scZLt0KfzBnbmYtGwJjecNN1i7mMi1fJYtQ+ad7Ozqv73uOggIgwbBPWrJEnxu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e2tZxHJycnCynk2sgl8tBSolKpRL6Nbe3t/j48eMz9mo8x3FWfk4iol3HAIuIiJR0Og0pJW5v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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x45a6b50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from pymatgen.electronic_structure.plotter import BSPlotter\n",
    "plotter=BSPlotter(bs)\n",
    "plotter.get_plot().show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We plot the Brillouin zone with the path which was used for the band structure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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1w4oVKzB79mx4e3tbvYGpk5MTTp8+jcDAQMyYMQM///yzVe2xJ7Kzs+Hl5WVt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\nqc2Zsyec1a1ycnIo8tKsman4dXaQqjVrYuzUCTD1GrWFFK7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pU+f+HTs6kr5pE3bdu6MN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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x524ad50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotter.plot_brillouin()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
